Articles

• MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

  Lulu Zhang, Tao Luo, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu, Zheng Ma

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  307100 3601 Pages:299-335

• Frame Invariance and Scalability of Neural Operators for Partial Differential Equations

  Muhammad I. Zafar, Jiequn Han, Xu-Hui Zhou, Heng Xiao

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  303799 3475 Pages:336-363

• Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

  Jiayin Li, Chi-Wang Shu, Jianxian Qiu

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  303001 3331 Pages:364-400

• Solving Time Dependent Fokker-Planck Equations via Temporal Normalizing Flow

  Xiaodong Feng, Li Zeng, Tao Zhou

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  308882 3566 Pages:401-423

• An Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites

  Zihao Yang, Shaoqi Zheng, Fei Han, Shangkun Shen, Xiaofei Guan

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  303239 3413 Pages:424-449

• A Quantitative Comparison of Physical Accuracy and Numerical Stability of Lattice Boltzmann Color Gradient and Pseudopotential Multicomponent Models for Microfluidic Applications

  Karun P. N. Datadien, Gianluca Di Staso, Herman M. A. Wijshoff, Federico Toschi

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  302172 3344 Pages:450-489

• A NURBS-Enhanced Finite Volume Method for Steady Euler Equations with Goal-Oriented $h$-Adaptivity

  Xucheng Meng, Guanghui Hu

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  303107 3823 Pages:490-523 Open-access

• A Holomorphic Operator Function Approach for the Transmission Eigenvalue Problem of Elastic Waves

  Yingxia Xi, Xia Ji

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  301675 3341 Pages:524-546

• A RKDG Method for 2D Lagrangian Ideal Magnetohydrodynamics Equations with Exactly Divergence-Free Magnetic Field

  Shijun Zou, Xiaolong Zhao, Xijun Yu, Zihuan Dai

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  301357 3354 Pages:547-582

• Modeling of Bound Electron Effects in Particle-in-Cell Simulation

  Xiangyan An, Min Chen, Zheng-Ming Sheng, Jie Zhang

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  299840 3171 Pages:583-594